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Published byBenedict Andrews Modified over 9 years ago
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Why modify gravity? Explain Tier I problems: Extra gravity in galaxies & clusters Today In growth of baryonic structure post-recombination Accelerating expansion
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Why modify gravity? Explain: Tier I problems: (1) extra gravity; (2) acceleration Tier II problems/mysteries/coincidences: Absence of large angle correlations in CMB (C(θ>θ c ≈60 o )≈0) Pioneer anomaly Coincidence of scales: (v 2 /r) galaxies ≈ H o c ≈ (H o c)/θ c ≈ Δa Pioneer Tier III vague musings: “inflationary” problems
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Absence of large angle correlations WMAP1: S 1/2 = -1 1/2 C( ) 2 dcos C. Copi, D. Huterer, D.Schwarz & G.Starkman
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Dark matter Dark energy modified gravity (Inflaton) simple, unified, predictive, testable
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gravitational “detection of dark matter”
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Growth of structure Any theory that respects Birkhoff’s Law, does not result in the observed growth of structure (Lue, Scoccimaro, Starkman Phys.Rev.D69:044005,2004. e-Print: astro-ph/0307034).
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Solution: Break Birkhoff’s law. How: Allow new fields to seed growth of structure Modify Poisson equation (MOND) Eg. TeVeS ( Bekenstein astro-ph/0403694 ), GEA ( Zlosnik, Ferreira, GDS, astro-ph/0607411 )
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Good news: New gravitationally coupled fields that seed structure can cause weak lensing; could separate from baryons “Bullet cluster” (Dai, Matsuo, Starkman, Phys.Rev.D78:104004,2008. arXiv:0806.4319)
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Problem: Without Birkhoff’s law, the field here depends on the distribution of matter everywhere in some complicated way On interior of a spherical shell
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Good news: MOND has a Birkhoff’s law Bad news: On interior of a spherical shell This doesn’t help It is the 1/r 2 of Newtonian gravity that counts
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Summary Modified gravity theories could reproduce the successes of DM/DE, but at the expense of becoming like DM/DE theories -- wysiNwyg and with the possible loss of reliable calculability.
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